Sunday, November 24, 2013

November 24

lines in rectangle

Still counting how into how many pieces one can cut a sheet of paper by straight cuts. Can one with 3 cuts gets 4 pieces? 5? 6? 7? 8?
3 cuts, 6 pieces
OK, next task: with 4 cuts, can you get 4, 5, 6, 7, 8, 9, 10, 11 or 12 pieces?

Euler characteristic, again

summing up these vertices, edges and pieces leads us again to Euler characteristics...
Is it still 1?

12 Vertices + 6 pieces = 17 edges + 1 (this is Euler characteristic)

It still is...


Gallery guards

How many of them do you need to keep an eye on all the walls of this crazy gallery?



SET

Catching those sets - about 1 in 4 correct!

experiment du jour: ice and the level of the water

when our little iceberg melts, will the water level go up?

No... 

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